Updating search results...

Search Resources

1256 Results

View
Selected filters:
Intro to Ratios-6th Grade Math
Unrestricted Use
CC BY
Rating
0.0 stars

This lesson is regarding the introduction to ratios.  Students will learn what a ratio is, practice finding ratios, and work on making their own ratios. There are YouTube videos, worksheets, and funny images to help students understand ratios.

Subject:
Mathematics
Ratios and Proportions
Material Type:
Assessment
Homework/Assignment
Interactive
Reading
Author:
Maggie Davenport
Date Added:
07/07/2021
Math, Grade 7, Proportional Relationships, Analyzing Proportional Relationship Graphs
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Students analyze the graph of a proportional relationship in order to find the approximate constant of proportionality, to write the related formula, and to create a table of values that lie on the graph.Key ConceptsThe constant of proportionality determines the steepness of the straight-line graph that represents a proportional relationship. The steeper the line is, the greater the constant of proportionality.On the graph of a proportional relationship, the constant of proportionality is the constant ratio of y to x, or the slope of the line.A proportional relationship can be represented in different ways: a ratio table, a graph of a straight line through the origin, or an equation of the form y = kx, where k is the constant of proportionality.Goals and Learning ObjectivesIdentify the constant of proportionality from a graph that represents a proportional relationship.Write a formula for a graph that represents a proportional relationship.Make a table for a graph that represents a proportional relationship.Relate the constant of proportionality to the steepness of a graph that represents a proportional relationship (i.e., the steeper the line is, the greater the constant of proportionality).

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Four Representations of Constant of Proportionality
Unrestricted Use
CC BY
Rating
0.0 stars

Four Representations of Constant of Proportionality help students use their knowledge of proportional relationships. Students identify the constant of proportionality from a word problem, an equation, a table, or a graph; and then use that knowledge to complete the other tasks.

Subject:
Mathematics
Ratios and Proportions
Material Type:
Activity/Lab
Homework/Assignment
Author:
Katrina Free
Date Added:
04/07/2020
Ratios in Real Life
Unrestricted Use
CC BY
Rating
0.0 stars

This activitiy will look at different ways to write ratios and how we see and use ratios in real life.

Subject:
Mathematics
Material Type:
Activity/Lab
Author:
Valerie Rosenthal
Date Added:
03/23/2020
Math, Grade 6, Ratios, Glide Ratio
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

This lesson introduces the concept of a glide ratio and encourages students to use appropriate tools strategically (Mathematical Practice 5). Students use tape diagrams, double number lines, ratio tables, graphs, and equations to represent glide ratios.Key ConceptsA glide ratio for an object or an organism in flight is the ratio of forward distance to vertical distance (in the absence of power and wind). For a given object or organism that glides, this ratio has a constant value and is treated as a feature of the object or organism.Goals and Learning ObjectivesUnderstand the concept of a glide ratio.Make connections within and between different ways of representing ratios.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Math, Grade 7, Proportional Relationships
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Proportional Relationships

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Understand what a rate and ratio are.
Make a ratio table.
Make a graph using values from a ratio table.

Lesson Flow

Students start the unit by predicting what will happen in certain situations. They intuitively discover they can predict the situations that are proportional and might have a hard time predicting the ones that are not. In Lessons 2–4, students use the same three situations to explore proportional relationships. Two of the relationships are proportional and one is not. They look at these situations in tables, equations, and graphs. After Lesson 4, students realize a proportional relationship is represented on a graph as a straight line that passes through the origin. In Lesson 5, they look at straight lines that do not represent a proportional relationship. Lesson 6 focuses on the idea of how a proportion that they solved in sixth grade relates to a proportional relationship. They follow that by looking at rates expressed as fractions, finding the unit rate (the constant of proportionality), and then using the constant of proportionality to solve a problem. In Lesson 8, students fine-tune their definition of proportional relationship by looking at situations and determining if they represent proportional relationships and justifying their reasoning. They then apply what they have learned to a situation about flags and stars and extend that thinking to comparing two prices—examining the equations and the graphs. The Putting It Together lesson has them solve two problems and then critique other student work.

Gallery 1 provides students with additional proportional relationship problems.

The second part of the unit works with percents. First, percents are tied to proportional relationships, and then students examine percent situations as formulas, graphs, and tables. They then move to a new context—salary increase—and see the similarities with sales taxes. Next, students explore percent decrease, and then they analyze inaccurate statements involving percents, explaining why the statements are incorrect. Students end this sequence of lessons with a formative assessment that focuses on percent increase and percent decrease and ties it to decimals.

Students have ample opportunities to check, deepen, and apply their understanding of proportional relationships, including percents, with the selection of problems in Gallery 2.

Subject:
Mathematics
Ratios and Proportions
Material Type:
Unit of Study
Provider:
Pearson
Math, Grade 6, Ratios, Relate Ratio Tables to Graphs
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Students focus on interpreting, creating, and using ratio tables to solve problems. They also relate ratio tables to graphs as two ways of representing a relationship between quantities.Key ConceptsRatio tables and graphs are two ways of representing relationships between variable quantities. The values shown in a ratio table give possible pairs of values for the quantities represented and define ordered pairs of coordinates of points on the graph representing the relationship. The additive and multiplicative structure of each representation can be connected, as shown: Goals and Learning ObjectivesComplete ratio tables.Use ratio tables to compare ratios and solve problems.Plot values from a ratio table on a graph.Understand the connection between the structure of ratio tables and graphs.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Finding Equivalent Ratios
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Open middle problems require a higher depth of knowledge than most problems that assess procedural and conceptual understanding. They support the Common Core State Standards and provide students with opportunities for discussing their thinking.

The Finding Equivalent Ratios problem asks students to use the digits 1-9 to create 3 equivalent ratios made up of single and double digit numbers.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Open Middle
Date Added:
08/21/2017
Math, Grade 7, Proportional Relationships, Connecting Percentage To Proportional Relationships
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Students connect percent to proportional relationships in the context of sales tax.Key ConceptsWhen there is a constant tax percent, the total cost for items purchase—including the price and the tax—is proportional to the price.To find the cost, c , multiply the price of the item, p, by (1 + t), where t is the tax percent, written as a decimal: c = p(1 + t).The constant of proportionality is (1 + t) because of the structure of the situation:c = p + tp = p(1 + t).Because of the distributive property, multiplying the price by (1 + t) means multiplying the price by 1, then multiplying the price by t, and then taking the sum of these products.Goals and Learning ObjectivesFind the total cost in a sales tax situation.Understand that a proportional relationship only exists between the price of an item and the total cost of the item if the sales tax is constant.Find the constant of proportionality in a sales tax situation.Make a graph of an equation showing the relationship between the price of an item and the total amount paid.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Proportional Scaling
Read the Fine Print
Educational Use
Rating
0.0 stars

Learn about the dynamic relationships between a jet engine's heat loss, surface area, and volume in this video adapted from Annenberg Learner's Learning Math: Patterns, Functions, and Algebra.

Subject:
Mathematics
Material Type:
Lesson
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media Common Core Collection
Author:
U.S. Department of Education
WGBH Educational Foundation
Date Added:
06/18/2012
Equivalent Ratios
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Open middle problems require a higher depth of knowledge than most problems that assess procedural and conceptual understanding. They support the Common Core State Standards and provide students with opportunities for discussing their thinking. The Equivalent Ratios problem asks students to use the digits 1-9 to see how many ratios they can make that are equivalent to 2:3

Subject:
Mathematics
Ratios and Proportions
Material Type:
Homework/Assignment
Provider:
Open Middle
Author:
Robert Kaplinsky
Date Added:
09/15/2017
Math, Grade 7, Proportional Relationships, Graphing A Table Of Values
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Students explore the idea that not all straight lines are proportional by comparing a graph representing a stack of books with a graph representing a stack of cups. They recognize that all proportional relationships are represented as a straight line that passes through the origin.Key ConceptsNot all graphs of straight lines represent proportional relationships.There are three ways to tell whether a relationship between two varying quantities is proportional:The graph of the relationship between the quantities is a straight line that passes through the point (0, 0).You can express one quantity in terms of the other using a formula of the form y = kx.The ratios between the varying quantities are constant.Goals and Learning ObjectivesUnderstand when a graph of a straight line is and when it is not a proportional relationship.Recognize that a proportional relationship is shown on a graph as a straight line that passes through the origin (0, 0).Make a table of values to represent two quantities that vary.Graph a table of values representing two quantities that vary.Describe what each variable and number in a formula represents.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Proportions Trail
Only Sharing Permitted
CC BY-NC-ND
Rating
0.0 stars

Andrea Kowalchik has her students move around the room in pairs while solving proportion problems that are tacked to the walls. This lesson is easy to prepare, fun for students, and gets them working quickly while being active all at the same time.

Subject:
Education
Mathematics
Ratios and Proportions
Material Type:
Lesson Plan
Teaching/Learning Strategy
Provider:
Teaching Channel
Provider Set:
Teaching Channel
Author:
Andrea Kowalchik
Date Added:
11/02/2012
Math, Grade 6, Ratios, Comparing Numbers with Ratios
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

This lesson formally introduces and defines a ratio as a way of comparing numbers to one another.Key ConceptsA ratio is defined by the following characteristics:A ratio is a pair of numbers (a:b).Ratios are used to compare two numbers.The value of a ratio a:b is the quotient a ÷ b, or the result of dividing a by b.Other important features of ratios include the following:A ratio does not always tell you the values of quantities being compared.The order of values in a ratio matters.Goals and Learning ObjectivesIntroduce a formal definition of ratio.Use the definition of ratio to solve problems related to comparing quantities.Understand that ratios do not always tell you the values of the quantities being compared.Understand that the order of values in a ratio matters.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Math, Grade 6, Ratios, Expressing Ratios
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Students work with a set of cards showing different ways of expressing ratios, including both part-part statements and part-whole statements. They group the cards that show the same ratio of boys to girls, but without the explicit use of the term equivalent.Key ConceptsRatios can be represented in a:b form, as fractions, as decimals, as factors, and in words; they can be expressed in part-part statements or in part-whole statements.Goals and Learning ObjectivesGroup cards showing ratios that are equivalent but expressed in different forms.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Math, Grade 7, Proportional Relationships, Identifying Verbal Descriptions
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Students interpret verbal descriptions of situations and determine whether the situations represent proportional relationships.Key ConceptsIn a proportional relationship, there has to be some value that is constant.There are some relationships in some situations that can never be proportional.Goals and Learning ObjectivesIdentify verbal descriptions of situations as being proportional relationships or notUnderstand that some relationships can never be proportionalUnderstand that for two variable quantities to be proportional to one another, something in the situation has to be constant

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Understanding Ratios
Unrestricted Use
CC BY
Rating
0.0 stars

Ratios are everywhere around us whether we realize it or not. Understanding and applying ratio concepts is a life skill and job skill that will benefit any learner. The goal for this unit is to provide learners with a working knowledge of ratios that they can apply to their everyday lives, education, or occupation.

Subject:
Mathematics
Material Type:
Lesson Plan
Module
Date Added:
04/10/2019
Math, Grade 6, Ratios, Expressing Ratios Numerically
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Students work with a set of cards showing different ways of expressing ratios numerically. They group the cards showing equivalent ratios and then order the groups from least to greatest value.Key ConceptsIt can be hard to compare the values of ratios represented in different forms (e.g., a:b, decimal, fraction, a to b). Simplifying ratios makes it easier to compare and order their values.Goals and Learning ObjectivesIdentify ratios that are equivalent but expressed differently.Simplify ratios in order to group and order cards efficiently and successfully.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Date Added:
09/21/2015
Ratio of boys to girls
Unrestricted Use
CC BY
Rating
0.0 stars

In some textbooks, a distinction is made between a ratio, which is assumed to have a common unit for both quantities, and a rate, which is defined to be a quotient of two quantities with different units (e.g. a ratio of the number of miles to the number of hours). No such distinction is made in the common core and hence, the two quantities in a ratio may or may not have a common unit. However, when there is a common unit, as in this problem, it is possible to add the two quantities and then find the ratio of each quantity with respect to the whole (often described as a part-whole relationship).

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012